Integer powers of anti-tridiagonal matrices of the form antitridiagn(a,c,−a),a,c∈ ℂ
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Publication:2957753
DOI10.1080/00207160.2015.1073721zbMath1365.15042OpenAlexW2298402298MaRDI QIDQ2957753
Publication date: 27 January 2017
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2015.1073721
Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Toeplitz, Cauchy, and related matrices (15B05) Matrix exponential and similar functions of matrices (15A16)
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Cites Work
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- Integer powers of real even order anti-tridiagonal Hankel matrices of the form \(\mathrm{antitridiag}_{n} ({a},{c},-{a})\)
- On computing of arbitrary positive powers for one type of anti-tridiagonal matrices of even order
- Powers of complex persymmetric or skew-persymmetric anti-tridiagonal matrices with constant anti-diagonals
- On computing of arbitrary positive integer powers of odd order anti-tridiagonal matrices with zeros in main skew diagonal and elements 1,1,1,\(\dots \),1; -1, -1, -1,\(\dots \),-1 in neighbouring diagonals
- A novel algorithm for inverting a general \(k\)-tridiagonal matrix
- Powers of real persymmetric anti-tridiagonal matrices with constant anti-diagonals
- Integer powers of real odd order skew-persymmetric anti-tridiagonal matrices with constant anti-diagonals (\(\mathrm{antitridiag}_{n} (a,c,-a), a\in \mathbb{R} \backslash \{0\}, c \in \mathbb{R}\))
- On the characteristic polynomial, eigenvectors and determinant of a pentadiagonal matrix
- On computing of arbitrary positive powers for anti-tridiagonal matrices of even order
- The Asymptotic Spectra of Banded Toeplitz and Quasi-Toeplitz Matrices
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